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Spectral Theory on the S-Spectrum for Quaternionic Operators

Spectral Theory on the S-Spectrum for Quaternionic Operators

David P. Kimsey / Fabrizio Colombo / Jonathan Gantner

135,18 €
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Editorial:
Springer Nature B.V.
Año de edición:
2019
Materia
Cálculo y análisis matemático
ISBN:
9783030030735

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Sobre IBD

The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.

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